368406 has 24 divisors (see below), whose sum is σ = 810264. Its totient is φ = 120960.

The previous prime is 368399. The next prime is 368411. The reversal of 368406 is 604863.

368406 is nontrivially palindromic in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 368406.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1641 + ... + 1851.

It is an arithmetic number, because the mean of its divisors is an integer number (33761).

2³⁶⁸⁴⁰⁶ is an apocalyptic number.

368406 is an abundant number, since it is smaller than the sum of its proper divisors (441858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

368406 is a wasteful number, since it uses less digits than its factorization.

368406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 368406 is about 606.9645788677. The cubic root of 368406 is about 71.6873013114.

The spelling of 368406 in words is "three hundred sixty-eight thousand, four hundred six".